In a container, there are jelly beans of 3 colours, grey, red and white. There are 160 more red jelly beans than white jelly beans. The number of white jelly beans is ¹₅ more than the grey jelly beans. Given that the number of white jelly beans is 24% of the total number of jelly beans in the container, how many more red jelly beans are there than grey jelly beans?

Grey jelly beans	Red jelly beans	White jelly beans
	1 u + 160	1 u
5x4		6x4
76%		24%
20%	56%	24%

1 + ¹₅ = ⁵₅ + ¹₅ = ⁶₅

Yellow jelly beans : Purple jelly beans = 5 : 6

The number of white jelly beans is repeated.  Make the number of white jelly beans the same.

6 x 4 = 24%

Total number of grey jelly beans and red jelly beans in percent
= 100% - 24%
= 76%

Number of red jelly beans in percent
= 76% - 20%
= 56%

Number of more red jelly beans than white jelly beans in percent
= 56% - 20%
= 32%

32% = 160

1% = 160 ÷ 32 = 5

Number of more red jelly beans than grey jelly beans
= 56% - 20%
= 36%
= 36 x 5
= 180

Answer(s): 180